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Title: On the supersymmetrization of Galileon theories in four dimensions

Abstract

We use on-shell amplitude techniques to study the possible N = 1 supersymmetrizations of Galileon theories in 3 + 1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry (φ → φ + c + bμxμ) for the scalar sector and a constant shift symmetry (ψ → ψ + ξ ) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced “special Galileon” symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry.

Authors:
; ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1434564
Alternate Identifier(s):
OSTI ID: 1643692
Grant/Contract Number:  
SC0007859; PHY17-48958
Resource Type:
Published Article
Journal Name:
Physics Letters. B
Additional Journal Information:
Journal Name: Physics Letters. B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; On-shell amplitudes; Galileons; Supersymmetry

Citation Formats

Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. On the supersymmetrization of Galileon theories in four dimensions. Netherlands: N. p., 2018. Web. doi:10.1016/j.physletb.2018.04.032.
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., & Paranjape, Shruti. On the supersymmetrization of Galileon theories in four dimensions. Netherlands. https://doi.org/10.1016/j.physletb.2018.04.032
Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. Fri . "On the supersymmetrization of Galileon theories in four dimensions". Netherlands. https://doi.org/10.1016/j.physletb.2018.04.032.
@article{osti_1434564,
title = {On the supersymmetrization of Galileon theories in four dimensions},
author = {Elvang, Henriette and Hadjiantonis, Marios and Jones, Callum R. T. and Paranjape, Shruti},
abstractNote = {We use on-shell amplitude techniques to study the possible N = 1 supersymmetrizations of Galileon theories in 3 + 1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry (φ → φ + c + bμxμ) for the scalar sector and a constant shift symmetry (ψ → ψ + ξ ) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced “special Galileon” symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry.},
doi = {10.1016/j.physletb.2018.04.032},
journal = {Physics Letters. B},
number = C,
volume = 781,
place = {Netherlands},
year = {Fri Jun 01 00:00:00 EDT 2018},
month = {Fri Jun 01 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.04.032

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Cited by: 13 works
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Works referenced in this record:

Structure of Phenomenological Lagrangians. II
journal, January 1969


Stability and superluminality of spherical DBI Galileon solutions
journal, April 2011


Multifield Galileons and higher codimension branes
journal, December 2010


4D gravity on a brane in 5D Minkowski space
journal, July 2000


Soft Photon and Graviton Theorems in Effective Field Theory
journal, June 2017


Hidden symmetry of the Galileon
journal, July 2015


On Anomalies in Classical Dynamical Systems
journal, January 2001


On-Shell Recursion Relations for Effective Field Theories
journal, January 2016


Supersymmetric cubic Galileons have ghosts
journal, July 2013


Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015


Galileon as a local modification of gravity
journal, March 2009


Generalization of the Fierz-Pauli action
journal, August 2010


Supersymmetric Galileons
journal, August 2011


Matter couplings in partially broken extended supersymmetry
journal, September 1994


Quantum Field Theory and Approximate Symmetries
journal, March 1966


Structure of Phenomenological Lagrangians. I
journal, January 1969


Resummation of Massive Gravity
journal, June 2011